Parabolas with Sliders - Impact of the b value

The initial graph represents [math]y=x^2[/math]. What do you notice about the graph's vertex?
Move the "b" slider so that it is greater than 0. How did the graph change compared to [math]y=x^2[/math]? How did the equation change?
Move the "b" slider so that it is less than 0. How did the graph change compared to [math]y=x^2[/math]? How did the equation change?
Consider [math]y=\left(x-6\right)^2[/math]. How will the graph change compared to [math]y=x^2[/math]? Now check it!
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Information: Parabolas with Sliders - Impact of the b value